Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)". 2 more similar replacement(s)

Step  1  :

Equation at the end of step  1  :

    (8-5) 
  {———————}-4
   (2)(-2)

Step  2  :

 2.1     8 = 23

(8)^-5 = (2³)^(-5) = (2)^(-15)

Equation at the end of step  2  :

   (2)(-15)
  {————————}-4
   (2)(-2) 

Step  3  :

          1       
 Divide  ———  by  (2)(-2)
         215      

 3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

 1       1        1      22
———  ÷  ——   =   ———  •  ——
215     22       215     1 

Raising to a Power :

 3.2    2²   divided by   2¹⁵   = 2^{(2 - 15)} = 2^(-13) = ¹/_2¹³

Equation at the end of step  3  :

    1 
 (————)-4
  8192

Step  4  :

 4.1     8192 = 2¹³ (8192)^-4 = (2¹³)^(-4) = (2)^(-52)

Final result :

  252                                  
  ——— = 4.50360 • 1015 
   1